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Finding the Third Proportional to 74,859 and 112,592.25

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Solution

The third proportional to 74,859 and 112,592.25 is: 169,345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,859 : 112,592.25 = 112,592.25 : x
  2. Step 2: Convert to fraction form
    74,859/112,592.25 = 112,592.25/x
  3. Step 3: Cross multiply
    74,859x = 112,592.25 × 112,592.25
  4. Step 4: Simplify right side
    74,859x = 12,677,014,760.06
  5. Step 5: Solve for x
    x = 12,677,014,760.06/74,859
  6. Step 6: Final answer
    x = 169,345.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.